Attractors of dynamical systems in locally compact spaces

Li, Gang; Gao, Yuxia

doi:10.1515/math-2019-0037

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2019

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“…Stability is one of essential concepts in dynamical system theory, which has been considered by the researchers in many fields, such as [1][2][3][4][5][6][7][8], and [9][10][11][12]. For a linear system without delays, as is well known, the stability is related to the system matrix root-clustering in subregions of the complex plane.…”

Section: Introductionmentioning

confidence: 99%

Region stability of linear stochastic discrete systems with time-delays

2019

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In this paper, our aim is to investigate the region stability of stochastic discrete time-delay systems. Firstly, region stabilities of systems are defined by a spectrum operator. Secondly, with the aid of linear matrix inequality, some equivalent conditions and related results for region stabilities of systems are obtained. Finally, the relation between region stabilities and the convergence speed of the trajectories of systems is given.

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